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On the cup product of singular Hochschild cohomology

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Abstract

We interpret the graded commutative property of singular Hochschild cohomology using the suspended version of the Hilton-Eckmann argument.

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Acknowledgements

The author would like to thank his supervisor Bernhard Keller for introducing this interesting topic and giving many valuable suggestions for improvement. He thanks his supervisor Nanqing Ding for his consistent support. He is deeply grateful to Zhengfang Wang for his interesting discussions.

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  1. Department of Mathematics, Nanjing University, Nanjing, 210093, People’s Republic of China

    Yu Wang

  2. Université de Paris, UFR de Mathématiques, CNRS, Institut de Mathématiques de Jussieu–Paris Rive Gauche, IMJ-PRG, Bâtiment Sophie Germain, 75205, Paris Cedex 13, France

    Yu Wang

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  1. Yu Wang
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Correspondence to Yu Wang.

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This work was completed with the support of the China Scholarship Council.

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Wang, Y. On the cup product of singular Hochschild cohomology. Arch. Math. 119, 247–257 (2022). https://doi.org/10.1007/s00013-022-01752-y

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  • DOI: https://doi.org/10.1007/s00013-022-01752-y

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